The generator matrix

 1  0  1  1  1 14  1  1  6  1  4  1  1  1  6  1  6  1  1  1  0  1  0  1  1  1  2  1  1  6  1  2  1  1  1  4  1  1  1 12  1  1  1  0  1  0  1  1  1  1 10  1  1  2  8  1  2  1  1  1  4  0  1  8 14  6  1  8  1  1 14  1  1 12  0 10  1  6  1  1  1  1  0  8  1 12  1  2  8
 0  1  1  0 11  1  4  7  1 13  1  2  2  3  1 13  1  0 15 10  1  1  1  2 12  9  1 15  4  1 14  1  5 11 14  1  1  8  2  1  6 11  3  1  9  1  4  9  3 14  1  0  1  1  1 10  4  0  9 12  0  1  7  1  1  1 14  2 10  1  1  1 10  1  2  1  1  1  0 11  5  2  2  2  8  4  1  1  1
 0  0  2  0  6  0  2  8  2  8  2  6 12 12  4 14 14  6  2  8 12  0  2 14 10  0  2  6  6  4  8 12 10  4  4 10 12 14  8  2  8 14  2  8  4  8 10 12  0  2  2  4  0  8  4 14  2  8  6  2  2  4  0  2 10 14 12  6  8 14  4 12  2  0  6 10 10 12  6  0  6  2 10 14  4  4  2  2  8
 0  0  0  2  0  0  0  2  6 14 14  8  2  8 10  2  0  2 10 12  6  4 12 10  6  2 10  8 12  6 10  8  4  6  4  8  0  0 10 10 12 14  8  4  2 10 10  8  4 12  8 10  0  0  0 14  4  4  4  6 14  4  8 10 14  4  8  2  2  2  2 12  8  0 12  6  6 10  2  8  2  4  0 14 14  2  4  8  8
 0  0  0  0 12  4  8  8 12 12  8  4 12  4  8  4  0  8  8 12  4  0 12  8 12  4  4  0  8  0 12  4  0  0  8  4  4  8  0  0  4  4 12  0  0 12 12  0  8 12 12  4 12  8  4 12  4  8  4  8 12  4  4 12  8  0  8 12  8 12 12 12  4  4  8  4  0  0  0  0  0  0 12  8  8 12  8  0  4

generates a code of length 89 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+165x^80+498x^81+1034x^82+1986x^83+2589x^84+4152x^85+4589x^86+7040x^87+6534x^88+8558x^89+6631x^90+7330x^91+4696x^92+4006x^93+2104x^94+1486x^95+926x^96+538x^97+259x^98+176x^99+124x^100+46x^101+33x^102+10x^103+10x^105+2x^106+4x^107+5x^108+4x^110

The gray image is a code over GF(2) with n=712, k=16 and d=320.
This code was found by Heurico 1.16 in 71.9 seconds.